LCM of 109, 481, 377, 884, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 109, 481, 377, 884, 836 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 109, 481, 377, 884, 836. So, keep reading to learn more.
Given numbers are 109,481,377,884,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 109,481,377,884,836 is 21608507492.
Find LCM of 109,481,377,884,836 with Prime Factorization
| 2 | 109, 481, 377, 884, 836 |
| 2 | 109, 481, 377, 442, 418 |
| 13 | 109, 481, 377, 221, 209 |
| 109, 37, 29, 17, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 109 x 37 x 29 x 17 x 209 = 21608507492
Therefore, the lowest common multiple of 109,481,377,884,836 is 21608507492.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
109 x 481 x 377 x 884 x 836 = 14607351064592
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
109 : 1, 109
481 : 1, 13, 37, 481
377 : 1, 13, 29, 377
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,481,377,884,836, is 1.
Now, the common factors can be found like this.
109:109
481:13x 37
377:13x 29
884:2x 2x 13x 17
836:2x 2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 13x 13 = 676
Therefore, the value for common factors is 676.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 14607351064592/(1x676)
LCM = 14607351064592/676
LCM = 21608507492
Thus, we can understand that the LCM of 109,481,377,884,836 is 21608507492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 109, 481, 377, 884, 836
1. What is the LCM of 109, 481, 377, 884, 836?
Answer: LCM of 109, 481, 377, 884, 836 is 21608507492.
2. How to calculate the LCM of 109, 481, 377, 884, 836?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 109, 481, 377, 884, 836.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.